Classical observables from coherent-spin amplitudes
The quantum field-theoretic approach to classical observables due to Kosower, Maybee and O’Connell provides a rigorous pathway from on-shell scattering amplitudes to classical perturbation theory. In this paper, we promote this formalism to describe general classical spinning objects by using cohere...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
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Springer Nature
2021
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| _version_ | 1797069084136833024 |
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| author | Aoude, R Ochirov, A |
| author_facet | Aoude, R Ochirov, A |
| author_sort | Aoude, R |
| collection | OXFORD |
| description | The quantum field-theoretic approach to classical observables due to Kosower, Maybee and O’Connell provides a rigorous pathway from on-shell scattering amplitudes to classical perturbation theory. In this paper, we promote this formalism to describe general classical spinning objects by using coherent spin states. Our approach is fully covariant with respect to the massive little group SU(2) and is therefore completely synergistic with the massive spinor-helicity formalism. We apply this approach to classical two-body scattering due gravitational interaction. Starting from the coherent-spin elastic-scattering amplitude, we derive the classical impulse and spin kick observables to first post-Minkowskian order but to all orders in the angular momenta of the massive spinning objects. From the same amplitude, we also extract an effective two-body Hamiltonian, which can be used beyond the scattering setting. As a cross-check, we rederive the classical observables in the center-of-mass frame by integrating the Hamiltonian equations of motion to the leading order in Newton’s constant. |
| first_indexed | 2024-03-06T22:19:19Z |
| format | Journal article |
| id | oxford-uuid:547cacb4-c391-4eb0-b5ad-13fd6c81cd42 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T22:19:19Z |
| publishDate | 2021 |
| publisher | Springer Nature |
| record_format | dspace |
| spelling | oxford-uuid:547cacb4-c391-4eb0-b5ad-13fd6c81cd422022-03-26T16:38:09ZClassical observables from coherent-spin amplitudesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:547cacb4-c391-4eb0-b5ad-13fd6c81cd42EnglishSymplectic ElementsSpringer Nature2021Aoude, ROchirov, AThe quantum field-theoretic approach to classical observables due to Kosower, Maybee and O’Connell provides a rigorous pathway from on-shell scattering amplitudes to classical perturbation theory. In this paper, we promote this formalism to describe general classical spinning objects by using coherent spin states. Our approach is fully covariant with respect to the massive little group SU(2) and is therefore completely synergistic with the massive spinor-helicity formalism. We apply this approach to classical two-body scattering due gravitational interaction. Starting from the coherent-spin elastic-scattering amplitude, we derive the classical impulse and spin kick observables to first post-Minkowskian order but to all orders in the angular momenta of the massive spinning objects. From the same amplitude, we also extract an effective two-body Hamiltonian, which can be used beyond the scattering setting. As a cross-check, we rederive the classical observables in the center-of-mass frame by integrating the Hamiltonian equations of motion to the leading order in Newton’s constant. |
| spellingShingle | Aoude, R Ochirov, A Classical observables from coherent-spin amplitudes |
| title | Classical observables from coherent-spin amplitudes |
| title_full | Classical observables from coherent-spin amplitudes |
| title_fullStr | Classical observables from coherent-spin amplitudes |
| title_full_unstemmed | Classical observables from coherent-spin amplitudes |
| title_short | Classical observables from coherent-spin amplitudes |
| title_sort | classical observables from coherent spin amplitudes |
| work_keys_str_mv | AT aouder classicalobservablesfromcoherentspinamplitudes AT ochirova classicalobservablesfromcoherentspinamplitudes |